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Finding the Fourth Proportional to 28,648, 39,534.38 and 16,072.75

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Solution

The fourth proportional to 28,648, 39,534.38 and 16,072.75 is: 22,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,648 : 39,534.38 = 16,072.75 : x
  2. Step 2: Convert to fraction form
    28,648/39,534.38 = 16,072.75/x
  3. Step 3: Cross multiply
    28,648x = 39,534.38 × 16,072.75
  4. Step 4: Simplify right side
    28,648x = 635,426,206.15
  5. Step 5: Solve for x
    x = 635,426,206.15/28,648
  6. Step 6: Final answer
    x = 22,180.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.